R. Bedet, W. H. Enright and T. E. Hull (1974),*STIFF DETEST: a program for comparing numerical methods for stiff ordinary differential equations*, Dept. of Computer Science Tech. Rep., in preparation, University of Toronto, Toronto.

G. Bjurel, G. Dahlquist, B. Lindberg, S. Linde and L. Odén (1970),*Survey of stiff ordinary differential equations*, Report NA 70.11, Dept. of Information Processing, Royal Inst. of Tech., Stockholm.

J. C. Butcher (1964),*Implicit Runge-Kutta processes*, Math. Comp. 18, pp. 50–64.

G. Dahlquist (1963),*A special stability problem for linear multistep methods*, BIT 3, pp. 27–43.

G. Dahlquist and B. Lindberg (1973),*On some implicit one-step methods for stiff differential equations*, TRITA-NA-7302, Dept. of Information Processing, Royal Inst. of Tech., Stockholm.

A. K. Datta (communicated by H. H. Robertson) (1967),*An evaluation of the approximate inverse algorithm for numerical integration of stiff differential equations*, Technical Report MSH/67/84, Imperial Chemical Industries Ltd., Cheshire.

H. T. Davis (1962),*Introduction to Nonlinear Differential and Integral Equations*, Dover, New York.

E. J. Davison (1971), Private communication.

B. L. Ehle (1968),*High order A-stable methods for the numerical solution of differential equations*, BIT 8, pp. 276–278.

W. H. Enright (1972),*Studies in the numerical solution of stiff ordinary differential equations*, Dept. of Computer Science Tech. Rep. No. 46, University of Toronto, Toronto.

W. H. Enright (1974a),*Second derivative multistep methods for stiff ordinary differential equations*, SIAM J Numer. Anal. 11, pp. 321–331.

W. H. Enright (1974b),*Optimal second derivative methods for stiff systems*, in Stiff Differential Systems (R. A. Willoughby ed.), Plenum Press, pp. 95–111.

W. H. Enright, R. Bedet, I. Farkas and T. E. Hull (1974),*Test results on initial value methods for non-stiff ordinary differential equations*, Dept. of Computer Science Tech. Rep. No. 68, University of Toronto, Toronto.

C. W. Gear (1969),*The automatic integration of stiff ordinary differential equations*, Proceedings of IFIP Congress 1968, North Holland Publishing Company, Amsterdam, pp. 187–193.

C. W. Gear (1971a),*Algorithm 407, DIFSUB for solution of ordinary differential equations*, C.A.C.M. 14, pp. 185–190.

C. W. Gear (1971b),*Numerical intial value problems in ordinary differential equations*, Prentice-Hall, Englewood Cliffs, N.J.

C. W. Gear (1971c),*Simultaneous numerical solution of differential-algebraic equations*, IEEE Trans. on Circuit Theory 18, pp. 89–95.

G. D. Hachtel, R. K. Brayton and F. G. Gustavson (1971),*The sparse tableau approach to network analysis and design*, IEEE Trans. on Circuit Theory 18, pp. 101–113.

G. Hall, W. H. Enright, T. E. Hull and A. E. Sedgwick (1973),*DETEST: a program for comparing numerical methods for ordinary differential equations*, Dept. of Computer Science Tech. Rep. No. 60, University of Toronto, Toronto.

A. C. Hindmarsh (1972),*GEAR: Ordinary differential equation system solver*, UCID-30001, Rev. 2, Lawrence Livermore Laboratory, University of California, Livermore.

T. E. Hull, W. H. Enright, B. M. Fellen and A. E. Sedgwick (1972),*Comparing numerical methods for ordinary differential equations*, SIAM J. Numer. Anal. 9, pp. 603–637.

R. W. Klopfenstein (1970), Private communication.

R. W. Klopfenstein and C. B. Davis (1970),*PECE algorithms for the solution of stiff equations*, unpublished manuscript.

F. T. Krogh (1973),*On testing a subroutine for the numerical integration of ordinary differential equations*, JACM 20, pp. 545–562.

J. D. Lawson (1967),*Generalized Runge-Kutta processes for stable systems with large Lipschitz constants*, SIAM. J. Numer. Anal. 4, pp. 372–380.

J. D. Lawson and B. L. Ehle (1972),*Improved generalized Runge-Kutta*, Proceedings of Canadian Computer Conference, Session 72, pp. 223201–223213.

B. Lindberg (1971),*On smoothing and extrapolation for the trapezoidal rule*, BIT 11, pp. 29–52.

B. Lindberg (1972),*IMPEX—a program package for solution of systems of stiff differential equations*, Report NA72.50, Dept. of Information Processing, Royal Inst. of Tech., Stockholm.

B. Lindberg (1974),*Optimal stepsize sequences and requirements for the local error for methods for stiff differential equations*, Dept. of Computer Science Tech. Rep. No. 67, University of Toronto, Toronto.

W. Liniger and R. A. Willoughby (1967),*Efficient numerical integration of stiff systems of ordinary differential equations*, Technical Report RC-1970, IBM Thomas J. Watson Research Center, Yorktown Heights, N.Y.

H. H. Robertson (1966),*The solution of a set of reaction rate equations*, in Numerical Analysis, An Introduction (J. Walsh ed.), Academic Press, London, pp. 178–182.